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@stdlib/math-base-special-kernel-tan
Advanced tools
Compute the tangent of a number on
[-π/4, π/4]
.
npm install @stdlib/math-base-special-kernel-tan
var kernelTan = require( '@stdlib/math-base-special-kernel-tan' );
Computes the tangent of a number
on [-π/4, π/4]
. For increased accuracy, the number for which the tangent should be evaluated can be supplied as a double-double number (i.e., a non-evaluated sum of two double-precision floating-point numbers x
and y
).
var out = kernelTan( 3.141592653589793/4.0, 0.0, 1 );
// returns ~1.0
out = kernelTan( 3.141592653589793/6.0, 0.0, 1 );
// returns ~0.577
out = kernelTan( 0.664, 5.288e-17, 1 );
// returns ~0.783
If k = 1
, the function returns tan(x+y)
. To return the negative inverse -1/tan(x+y)
, set k = -1
.
var out = kernelTan( 3.141592653589793/4.0, 0.0, -1 );
// returns ~-1.0
If either x
or y
is NaN
, the function returns NaN
.
var out = kernelTan( NaN, 0.0, 1 );
// returns NaN
out = kernelTan( 3.0, NaN, 1 );
// returns NaN
out = kernelTan( NaN, NaN, 1 );
// returns NaN
As components of a double-double number, the two double-precision floating-point numbers x
and y
must satisfy
where ulp
stands for units in the last place.
var linspace = require( '@stdlib/array-linspace' );
var binomial = require( '@stdlib/random-base-binomial' ).factory;
var PI = require( '@stdlib/constants-float64-pi' );
var kernelTan = require( '@stdlib/math-base-special-kernel-tan' );
var x = linspace( -PI/4.0, PI/4.0, 100 );
var rbinom = binomial( 1, 0.5 );
var descr;
var i;
var k;
for ( i = 0; i < x.length; i++ ) {
k = rbinom();
descr = ( k === 1 ) ? 'tan(%d) = %d' : '-1/tan(%d) = %d';
console.log( descr, x[ i ], kernelTan( x[ i ], 0.0, k ) );
}
This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.
See LICENSE.
Copyright © 2016-2021. The Stdlib Authors.
FAQs
Compute the tangent of a double-precision floating-point number on [-π/4, π/4].
We found that @stdlib/math-base-special-kernel-tan demonstrated a healthy version release cadence and project activity because the last version was released less than a year ago. It has 0 open source maintainers collaborating on the project.
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